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Finding the Fourth Proportional to 659,909.40, 989,864.10 and 286,661.40

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Solution

The fourth proportional to 659,909.40, 989,864.10 and 286,661.40 is: 429,992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,909.40 : 989,864.10 = 286,661.40 : x
  2. Step 2: Convert to fraction form
    659,909.40/989,864.10 = 286,661.40/x
  3. Step 3: Cross multiply
    659,909.40x = 989,864.10 × 286,661.40
  4. Step 4: Simplify right side
    659,909.40x = 283,755,828,715.74
  5. Step 5: Solve for x
    x = 283,755,828,715.74/659,909.40
  6. Step 6: Final answer
    x = 429,992.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.